{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:6ZT6QGHJDZKVZEYTLSROFX7LX2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e0abf1315bfa95985a09e652b74f92e55d9094d8622645d15fa024442c4d4f62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2021-10-30T19:59:13Z","title_canon_sha256":"2a72aabe16883342bca414f88b519e30cb37b1376e84675c2cd303ef32829b06"},"schema_version":"1.0","source":{"id":"2111.00324","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.00324","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"arxiv_version","alias_value":"2111.00324v2","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.00324","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"pith_short_12","alias_value":"6ZT6QGHJDZKV","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"pith_short_16","alias_value":"6ZT6QGHJDZKVZEYT","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"pith_short_8","alias_value":"6ZT6QGHJ","created_at":"2026-07-05T03:49:23Z"}],"graph_snapshots":[{"event_id":"sha256:d432eb83df68e5159423942bafc58bd384d0beb42e3a2c958a2d2912f74f86ca","target":"graph","created_at":"2026-07-05T03:49:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2111.00324/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Inferring inductive invariants is one of the main challenges of formal verification. The theory of abstract interpretation provides a rich framework to devise invariant inference algorithms. One of the latest breakthroughs in invariant inference is property-directed reachability (PDR), but the research community views PDR and abstract interpretation as mostly unrelated techniques.\n  This paper shows that, surprisingly, propositional PDR can be formulated as an abstract interpretation algorithm in a logical domain. More precisely, we define a version of PDR, called $\\Lambda$-PDR, in which all g","authors_text":"James R. Wilcox, Mooly Sagiv, Sharon Shoham, Yotam M. Y. Feldman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2021-10-30T19:59:13Z","title":"Property-Directed Reachability as Abstract Interpretation in the Monotone Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.00324","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ebfb500f44e7ac2798d53ebd5e0b2c3b3a23d6da5bdc545ab6cefd34afb93616","target":"record","created_at":"2026-07-05T03:49:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e0abf1315bfa95985a09e652b74f92e55d9094d8622645d15fa024442c4d4f62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2021-10-30T19:59:13Z","title_canon_sha256":"2a72aabe16883342bca414f88b519e30cb37b1376e84675c2cd303ef32829b06"},"schema_version":"1.0","source":{"id":"2111.00324","kind":"arxiv","version":2}},"canonical_sha256":"f667e818e91e555c93135ca2e2dfebbe986c65190ed5bf89c270ba51082e46bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f667e818e91e555c93135ca2e2dfebbe986c65190ed5bf89c270ba51082e46bc","first_computed_at":"2026-07-05T03:49:23.691644Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:49:23.691644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8U3JhY5GMV41eJdKY8iBBKNlaQFPvhaOn2DEqc5rLVkdxWNzNRs1fzQ1UZKTtdzIPLmDS+YjPf2hspMNNgezAA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:49:23.692186Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.00324","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebfb500f44e7ac2798d53ebd5e0b2c3b3a23d6da5bdc545ab6cefd34afb93616","sha256:d432eb83df68e5159423942bafc58bd384d0beb42e3a2c958a2d2912f74f86ca"],"state_sha256":"7291d09c58953ac021a8cb4dc628874b3271e74c6e617d6e27a22352f29ac2df"}